As you wisely noticed, since we have a right angle triangle, in order to find the length of one of the legs, we need to use Pythagoras:
![x=\sqrt[]{13^2-11^2}=\sqrt[]{48}](https://img.qammunity.org/2023/formulas/mathematics/college/kx1g40skqi1cct3nceg5xe0jqumcrzil9l.png)
Since 48 is NOT a perfect square, the answer will give you an irrational number with decimal form including an infinite number of decimal values:

In order to round the answer we got to a HUNDREDTH we need to include TWO decimals for the answer.
then we round this value to:
x = 6.93